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Expand these expressions and simplify where possible:

a) [tex]4(a+2) + 3(a-5)[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the expression step by step.

We are given the expression:

[tex]\[ 4(a + 2) + 3(a - 5) \][/tex]

### Step 1: Expand the expressions inside the parentheses

To do this, distribute the 4 and 3 to each term within their respective parentheses:

[tex]\[ 4(a + 2) = 4 \cdot a + 4 \cdot 2 = 4a + 8 \][/tex]

[tex]\[ 3(a - 5) = 3 \cdot a + 3 \cdot (-5) = 3a - 15 \][/tex]

### Step 2: Combine the expanded expressions

Now that we have expanded both expressions, let's combine them:

[tex]\[ 4(a + 2) + 3(a - 5) = (4a + 8) + (3a - 15) \][/tex]

### Step 3: Combine like terms

Next, we add the coefficients of [tex]\(a\)[/tex] together and the constants together:

[tex]\[ (4a + 3a) + (8 - 15) \][/tex]

Combine the terms:

[tex]\[ 7a - 7 \][/tex]

### Final Answer

The simplified expression is:

[tex]\[ 7a - 7 \][/tex]
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